On new exponential quadratically convergent iterative formulae

DOI10.1016/j.amc.2005.11.143zbMath1117.65066OpenAlexW2161462341MaRDI QIDQ850255

Weiguo Li, Jinhai Chen

Publication date: 15 November 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.143

zbMATH Keywords

Newton's methodnumerical experimentsquadratic convergenceexponential iterative formulae

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (8)

Some third-order families of iterative methods for solving nonlinear equations ⋮ Construction of third-order modifications of Newton's method ⋮ New iterative methods ⋮ Third-order and fourth-order iterative methods for finding multiple and distinct zeros of non-linear equations ⋮ Geometrically constructed families of Newton's method for unconstrained optimization and nonlinear equations ⋮ Third order derivative free SPH iterative method for solving nonlinear systems ⋮ Fourth-order two-step iterative methods for determining multiple zeros of non-linear equations ⋮ A fourth order iterative method for solving nonlinear equations

Cites Work

• On a class of quadratically convergent iteration formulae
• A modified regula falsi method for computing the root of an equation
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